PSLE A store is having a book sale.
The 1st book is at 5% discount.
The 2nd book is at 20% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Gwen and Caden each bought two books at the sale.
- Gwen's books were priced at $21 and $35. How much did she pay for them?
- Caden paid a total of $65.85 for his two books. He paid $8.25 less for the 2nd book than the 1st book. What was the price of the 2nd book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $35 |
100% $21 |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95% |
80% |
? |
(a)
Selling price of the 1st book
= 95% x 35
=
95100 x 35
= $33.25
Selling price of 2nd book
= 80% x 21
=
80100 x 21
= $16.80
Total amount that Gwen paid
= 33.25 + 16.80
= $50.05
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 5% |
- 20% |
|
Sale price |
95%
|
80%
|
|
Compare 1st book and 2nd book |
1 u + $8.25 |
1 u |
$65.85 |
(b)
Sale price of the 1st book = 1 u + 8.25
Sale price of the 2nd book = 1 u
Total amount that Caden paid
= 1 u + 8.25 + 1 u
= 2 u + 8.25
2 u + 8.25 = 65.85
2 u = 65.85 - 8.25
2 u = 57.60
1 u = 57.60 ÷ 2 = 28.80
Sale price of the 2nd book = $28.80
80% of the price = $28.80
100% of the price =
28.8080 x 100 = $36
Selling price of the 2nd book before discount = $36
Answer(s): (a) $50.05; (b) $36